687016 has 32 divisors (see below), whose sum is σ = 1450080. Its totient is φ = 302400.

The previous prime is 687013. The next prime is 687017. The reversal of 687016 is 610786.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (687013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3151 + ... + 3361.

It is an arithmetic number, because the mean of its divisors is an integer number (45315).

2⁶⁸⁷⁰¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725040).

687016 is an abundant number, since it is smaller than the sum of its proper divisors (763064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

687016 is a wasteful number, since it uses less digits than its factorization.

687016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 687016 is about 828.8642832213. The cubic root of 687016 is about 88.2379921441.

It can be divided in two parts, 6870 and 16, that added together give a palindrome (6886).

The spelling of 687016 in words is "six hundred eighty-seven thousand, sixteen".